-100x^2y+50x^3y^2+20x^2y^3=

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Solution for -100x^2y+50x^3y^2+20x^2y^3= equation: 


Simplifying
-100x2y + 50x3y2 + 20x2y3 = 0

Reorder the terms:
-100x2y + 20x2y3 + 50x3y2 = 0

Solving
-100x2y + 20x2y3 + 50x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x2y'.
10x2y(-10 + 2y2 + 5xy) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-10 + 2y2 + 5xy)' equal to zero and attempt to solve:

Simplifying
-10 + 2y2 + 5xy = 0

Reorder the terms:
-10 + 5xy + 2y2 = 0

Solving
-10 + 5xy + 2y2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 5xy + 10 + 2y2 = 0 + 10

Reorder the terms:
-10 + 10 + 5xy + 2y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 5xy + 2y2 = 0 + 10
5xy + 2y2 = 0 + 10

Combine like terms: 0 + 10 = 10
5xy + 2y2 = 10

Add '-2y2' to each side of the equation.
5xy + 2y2 + -2y2 = 10 + -2y2

Combine like terms: 2y2 + -2y2 = 0
5xy + 0 = 10 + -2y2
5xy = 10 + -2y2

Divide each side by '5y'.
x = 2y-1 + -0.4y

Simplifying
x = 2y-1 + -0.4y
Solution
x = {2y-1 + -0.4y}

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